Nonlinear Transformations for Accelerating the Convergence of M-Dimensional Series

Two transformations for accelerating the convergence of infinite M-dimensional series are presented. They are generalizations of Shanks’ e- transformation and Levin’s one-dimensional transformations, respectively.

The transformations are compared with an M-dimensional transformation by Levin in numerical examples.

Publication: MATHEMATICS OF COMPUTATION VOLUME 41, NUMBER 164, OCTOBER 1983